{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Rejection Sampling Methods\n",
    "\n",
    "The Rejection-Sampling techniques finds samples from a distribution $p({\\bf z})$ for which direct sampling is difficult. To find samples from $p({\\bf z})$, we consider a simpler *proposal distribution* $q({\\bf z})$ such that sampling is easy.\n",
    "\n",
    "Assume that evaluation of $p({\\bf z})$ is easily done up to a normalization constant $Z_p$ such that\n",
    "\n",
    "$$\n",
    "    p({\\bf z}) = \\frac{1}{Z_p} \\tilde p({\\bf z})\n",
    "$$\n",
    "\n",
    "Next, consider $k\\in\\mathbb{R}^{+}$ such that $\\forall z. kq({\\bf z}) \\geq \\tilde p({\\bf z})$; $kq({\\bf z})$ is called the comparisson function.\n",
    "\n",
    "The rejection sampling method works as follows:\n",
    "\n",
    "1. Generate a number ${\\bf z}_0$ from the distribution $q({\\bf z})$\n",
    "2. Generate a number $u_0$ from the distribution $\\text{U}\\big(0, kq({\\bf z}_0)\\big)$\n",
    "3. If $u_0 > \\tilde p({\\bf z}_0)$ then ${\\bf z}_0$ is rejected, otherwise ${\\bf z}_0$ is retained"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import seaborn as sns\n",
    "import matplotlib.pyplot as plt\n",
    "from numpy.random import rand, random_sample, seed\n",
    "from scipy.stats import gamma, norm"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "from numpy.random import randn"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "%config InlineBackend.figure_format = \"retina\""
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Example (1):\n",
    "We want to sample from a $\\text{Gamma}(a, b)$ distribution via a $\\mathcal{N}(a, c)$ distribution.\n",
    "\n",
    "$$\n",
    "    \\text{Gam}(z|a,b) = \\frac{b^a z^{a-1}\\exp(-bz)}{\\Gamma(a)}\n",
    "$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "a, b = 10, 1\n",
    "p = gamma(a=a, scale=b)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 265,
       "width": 378
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "xrange = np.linspace(-3, 50, 500)\n",
    "\n",
    "k = 3\n",
    "c = np.sqrt(2 * a - 1)\n",
    "\n",
    "p_density = p.pdf(xrange)\n",
    "q = norm(loc=a, scale=2 * c)\n",
    "qk_density = k * q.pdf(xrange)\n",
    "\n",
    "plt.plot(xrange, p_density, label=\"$p(z)$\")\n",
    "plt.plot(xrange, qk_density, label=\"$kq(z)$\");\n",
    "plt.fill_between(xrange, p_density, qk_density,\n",
    "                 color=\"tab:gray\", alpha=0.3, hatch=\"/\",\n",
    "                 label=\"rejection\\nregion\")\n",
    "plt.legend(fontsize=12)\n",
    "plt.title(\"Normal-Gamma Rejection Sampling\", fontsize=15);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 248,
       "width": 378
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "y_rvs = randn(100_000)\n",
    "z_rvs = y_rvs * 2 * c + a\n",
    "sns.distplot(z_rvs, kde=False, norm_hist=True);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "N = len(z_rvs)\n",
    "u = random_sample(N) * k * q.pdf(z_rvs)\n",
    "gamma_samples = z_rvs[u <= p.pdf(z_rvs)]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.33364"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# proportion of accepted samples\n",
    "len(gamma_samples) / N"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x7fbff7e22c50>"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 248,
       "width": 378
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(xrange, p_density, label=\"$p(z)$\")\n",
    "sns.kdeplot(gamma_samples, label=\"Empirical Distribution\")\n",
    "plt.legend(fontsize=12)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Example (2):\n",
    "\n",
    "In this example we aim to sample for a distribution $p({\\bf z})$ with unknown normalization constant $Z_p$.\n",
    "\n",
    "\n",
    "Idea extracted from [here](https://www4.stat.ncsu.edu/~rmartin/OldCourses/Stat451/Notes/451notes05.pdf) and [here](https://www4.stat.ncsu.edu/~rmartin/OldCourses/Stat451/Codes/451code05.R)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "def tilde_p(x):\n",
    "    return (np.exp(-x ** 2 / 2) *\n",
    "            (np.sin(6 * x) ** 2 + \n",
    "             3 * np.cos(x) ** 2 *\n",
    "             np.sin(4 * x) ** 2 + 1))\n",
    "\n",
    "q = norm(loc=0, scale=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 250,
       "width": 362
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "xrange = np.linspace(-4, 4, 500)\n",
    "k = 12\n",
    "\n",
    "plt.plot(xrange, k * q.pdf(xrange))\n",
    "plt.plot(xrange, tilde_p(xrange))\n",
    "plt.fill_between(xrange, tilde_p(xrange), k * q.pdf(xrange),\n",
    "                 color=\"tab:gray\", alpha=0.3, hatch=\"/\",\n",
    "                 label=\"rejection\\nregion\")\n",
    "plt.legend();"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "N = 1_000_000\n",
    "z_rvs = randn(N)\n",
    "N = len(z_rvs)\n",
    "u = random_sample(N) * k * q.pdf(z_rvs)\n",
    "casella_samples = z_rvs[u <= tilde_p(z_rvs)]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.491728"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "len(casella_samples) / N"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 263,
       "width": 372
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.title(\"RS samples\")\n",
    "sns.distplot(casella_samples);"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
